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Finding the Fourth Proportional to 11,576, 17,364.86 and 4,650.52

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Solution

The fourth proportional to 11,576, 17,364.86 and 4,650.52 is: 6,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 17,364.86 = 4,650.52 : x
  2. Step 2: Convert to fraction form
    11,576/17,364.86 = 4,650.52/x
  3. Step 3: Cross multiply
    11,576x = 17,364.86 × 4,650.52
  4. Step 4: Simplify right side
    11,576x = 80,755,628.73
  5. Step 5: Solve for x
    x = 80,755,628.73/11,576
  6. Step 6: Final answer
    x = 6,976.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.